- 663

- 0

I tried to write this out, but not sure if I did it correctly.

I figured the torque must be the same (v and w).

[tex]F_{\mathbf{v}}||\mathbf{v}||=F_{\mathbf{w}}||\mathbf{w}||[/tex]

I figured out that the mass exerted on each is as follows:

[tex]M_{\mathbf{v}}=M\cos{(\theta)}[/tex]

[tex]M_{\mathbf{w}}=M\sin{(\theta)}[/tex]

Solving for [tex]\theta[/tex], I came up with:

[tex]\theta=\arctan{(\frac{||\mathbf{w}||}{||\mathbf{v}||})}[/tex]

Is this correct? Does my reasoning make any sense?

Thanks.